Question

the point (5, -2) is reflected across the y - axis. what are the coordinates of the new point? a) (5, 2) b) (-5, -2) c) (-5, 2) d) (2, -5)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the y - axis, the rule is $(-x,y)$.

Step2: Apply rule to given point

The given point is $(5, - 2)$. Here $x = 5$ and $y=-2$. After reflection across the y - axis, $x$ becomes $-5$ and $y$ remains the same. So the new point is $(-5,-2)$.

Answer:

B) (-5, -2)